Answer
The slope is $m=-1$.
The $y$-intercept is $1$
The graph is attached below.
Work Step by Step
Isolate $y$ to obtain:
$x+y=1$
$y=-x+1$
In a line's equation in slope-intercept form, which is $y=mx+b$, the constant $b$ is the $y$-intercept while the coefficient of $x$, which is $m$, is the slope.
Thus, in $y=-x+1$ we have:
$y$-intercept is $1$
slope=$m=-1$.
Plot the point $(0, 1)$.
The slope is $-1$ so from $(0, 1)$, move $1$ unit to the right and $1$ unit downward to have $(1, 0)$.
Connect the points using a straight line.
